The focus of the parabola y^{2} - 8x - 32 = 0 is
(-2, 0)
(0 , 2)
(4 , 0)
(2 , 0)
The length of latus rectum of the parabola x^{2} = - 16y is
- 16
- 4
16
4
The tangents drawn at the extremities of a focal chord of a parabola.
Are parallel
Intersect on the directrix
Intersect at angle of 45^{o}
Intersect on the tangent at the vertex
If distance between the foci of an ellipse is equal to its minor axis, then eccentricity of the ellipse is
^{1}/√2
^{1}/√3
^{1}/√4
^{1}/√6
The distance from the centre of the ellipse to one of the foci and one of the vertices of the ellipse is called
Eccentricity
Ellipse
Focal length
None of these
If the line y = mx + k touches the parabola x^{2} = 4ay, then the value of k is
^{a}/m
am
am^{2}
-am^{2}
The vertex of the parabola (y - 2)^{2} = 16 (x - 1) is
(2 , 1)
(1 , -2)
(-1, 2)
(1 , 2)
The equation of the parabola with its vertex at (1 , 1) and focus (3 , 1) is
(x - 1)^{2} = 8 (y - 1)
(y - 1)^{2} = 8 ( x - 3)
(y - 1)^{2} = 8 (x - 1)
(x - 3)^{2} = 8 ( y - 1)
The eccentricity of the ellipse 4x^{2} + 9y^{2} = 36 is
^{1}/2√3
^{√5}/3
^{√5}/6
The co-ordinates of the focus of the parabola x^{2} = 6y is.
(0 , 0)
(3, 0)
(0 , ^{3}/2)
(0 , 5)